CLARTG (3) Linux Manual Page

clartg.f –

Synopsis

Functions/Subroutines

subroutine clartg (F, G, CS, SN, R)
CLARTG generates a plane rotation with real cosine and complex sine.

Function/Subroutine Documentation

subroutine clartg (complexF, complexG, realCS, complexSN, complexR)

CLARTG generates a plane rotation with real cosine and complex sine.

Purpose:

 CLARTG generates a plane rotation so that

 [ CS SN ] [ F ] [ R ]

 [ __ ] . [ ] = [ ] where CS**2 + |SN|**2 = 1.

 [ -SN CS ] [ G ] [ 0 ]

 This is a faster version of the BLAS1 routine CROTG, except for

 the following differences:

 F and G are unchanged on return.

 If G=0, then CS=1 and SN=0.

 If F=0, then CS=0 and SN is chosen so that R is real.

 

Parameters:

F

 F is COMPLEX

 The first component of vector to be rotated.

G

 G is COMPLEX

 The second component of vector to be rotated.

CS

 CS is REAL

 The cosine of the rotation.

SN

 SN is COMPLEX

 The sine of the rotation.

R

 R is COMPLEX

 The nonzero component of the rotated vector.

 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2013

Further Details:

 3-5-96 – Modified with a new algorithm by W. Kahan and J. Demmel

 This version has a few statements commented out for thread safety

 (machine parameters are computed on each entry). 10 feb 03, SJH.

 

Definition at line 104 of file clartg.f.

Author

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